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Comp-stmt

Comp-stmt->labels

Get the labels field from a comp-stmt.

Signature
(comp-stmt->labels x) → labels
Arguments: x — Guard (comp-stmtp x).
Returns: labels — Type (ident-list-listp labels).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: comp-stmt->labels$inline

(defun comp-stmt->labels$inline (x)
  (declare (xargs :guard (comp-stmtp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (ident-list-list-fix (car x)))
       :exec (car x)))

Theorem: ident-list-listp-of-comp-stmt->labels

(defthm ident-list-listp-of-comp-stmt->labels
  (b* ((labels (comp-stmt->labels$inline x)))
    (ident-list-listp labels))
  :rule-classes :rewrite)

Theorem: comp-stmt->labels$inline-of-comp-stmt-fix-x

(defthm comp-stmt->labels$inline-of-comp-stmt-fix-x
  (equal (comp-stmt->labels$inline (comp-stmt-fix x))
         (comp-stmt->labels$inline x)))

Theorem: comp-stmt->labels$inline-comp-stmt-equiv-congruence-on-x

(defthm comp-stmt->labels$inline-comp-stmt-equiv-congruence-on-x
  (implies (comp-stmt-equiv x x-equiv)
           (equal (comp-stmt->labels$inline x)
                  (comp-stmt->labels$inline x-equiv)))
  :rule-classes :congruence)